Solve y^2=3(x+1)

$$y ^ { 2 } = 3 ( x + 1 )$$

Solve for x

$$x=\frac{y^{2}-3}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+1.

$$y^{2}=3x+3$$

Swap sides so that all variable terms are on the left hand side.

$$3x+3=y^{2}$$

Subtract 3 from both sides.

$$3x=y^{2}-3$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{y^{2}-3}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{y^{2}-3}{3}$$

Divide y^{2}-3 by 3.

$$x=\frac{y^{2}}{3}-1$$

Solve for y (complex solution)

$$y=-\sqrt{3\left(x+1\right)}$$

$$y=\sqrt{3\left(x+1\right)}$$

Solve for y

$$y=\sqrt{3\left(x+1\right)}$$

$$y=-\sqrt{3\left(x+1\right)}\text{, }x\geq -1$$